The striker has arrived in Australia for the Reds' pre-season tour and will meet with the manager for the first time since declaring his intentions to leave Anfield this summer
The 26-year-old has declared his intention to leave Anfield on numerous occasions this summer but Rodgers has insisted that the Uruguay international will remain a Reds player for the foreseeable future.
Suarez will now link up with his team-mates in Melbourne, having been given extra time off after his participation in the Confederations Cup, and will speak with the former Swansea boss for the first time since he expressed his desire to leave.
"I'm looking forward to seeing him, he's a player I've always supported," Rodgers told reporters on Saturday after Liverpool beat an Indonesia XI 2-0 in Jakarta.
"I understand the situation but the bottom line is he is employed by the club.
"The money goes into his bank at the end of every month, so he should be here. If he's not, which I doubt, there will be a problem."
The Uruguayan striker refused to answer questions on his future when he landed on Sunday.
Goal reported this week that Arsenal will renew their interest in Suarez with a staggering bid worth £40 million, after Arsene Wenger's initial £30m plus £5m add-ons bid was rejected out of hand by the Merseysiders a fortnight ago.
He scored 23 goals in the Premier League last season, second only to Manchester United's Robin van Persie, and was included in the PFA Team of the Year.